2(3x+3)=8(4x+6)+8

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Solution for 2(3x+3)=8(4x+6)+8 equation:


Simplifying
2(3x + 3) = 8(4x + 6) + 8

Reorder the terms:
2(3 + 3x) = 8(4x + 6) + 8
(3 * 2 + 3x * 2) = 8(4x + 6) + 8
(6 + 6x) = 8(4x + 6) + 8

Reorder the terms:
6 + 6x = 8(6 + 4x) + 8
6 + 6x = (6 * 8 + 4x * 8) + 8
6 + 6x = (48 + 32x) + 8

Reorder the terms:
6 + 6x = 48 + 8 + 32x

Combine like terms: 48 + 8 = 56
6 + 6x = 56 + 32x

Solving
6 + 6x = 56 + 32x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-32x' to each side of the equation.
6 + 6x + -32x = 56 + 32x + -32x

Combine like terms: 6x + -32x = -26x
6 + -26x = 56 + 32x + -32x

Combine like terms: 32x + -32x = 0
6 + -26x = 56 + 0
6 + -26x = 56

Add '-6' to each side of the equation.
6 + -6 + -26x = 56 + -6

Combine like terms: 6 + -6 = 0
0 + -26x = 56 + -6
-26x = 56 + -6

Combine like terms: 56 + -6 = 50
-26x = 50

Divide each side by '-26'.
x = -1.923076923

Simplifying
x = -1.923076923

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